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Hu, X.S., Clair, D., Labesse-Jied, F. and Fogli, M. (2014) A Probabilistic Approach for Studying the Reliability of Cementless Hip Prostheses in the Presence of Mechanical Uncertainties. World Journal of Mechanics, 4, 12-23.
https://doi.org/10.4236/wjm.2014.41002

has been cited by the following article:

• TITLE: Lychrel Numbers in Base 10: A Probabilistic Approach

  AUTHORS: Rostand S. Kuitché

  KEYWORDS: Probabilistic Approach, Palindromes, Lychrel Numbers, Iteration Function, Digits

  JOURNAL NAME: Advances in Pure Mathematics, Vol.14 No.8, August 30, 2024

  ABSTRACT: For decades, Lychrel numbers have been studied on many bases. Their existence has been proven in base 2, 11 or 17. This paper presents a probabilistic proof of the existence of Lychrel number in base 10 and provides some properties which enable a mathematical extraction of new Lychrel numbers from existing ones. This probabilistic approach has the advantage of being extendable to other bases. The results show that palindromes can also be Lychrel numbers.